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kvsridhar
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Phi and Product Proportions

03/12/2010 7:47 AM

Hello friends,

i am fascinated by Phi which was known in my youth as the Golden rectangle in design. Thanks to Dan Brown/Da Vinci Code, i learnt about Phi .... which is 1.618....

Why is my Sony Bravia TV 16:9 and my Dell Laptop 16:10 ? Would they not be better off if the proportion was Phi ?

Maybe a very elementary question ? If so, apologies.

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passingtongreen
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#1

Re: PHI

03/12/2010 7:55 AM

That would require odd shaped pixels

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kvsridhar
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#2
In reply to #1

Re: PHI

03/12/2010 8:01 AM

well, our eyes and their rods, cones.... aren't really round either, are they ? no problem !

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HUX
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#3

Re: Phi and Product Proportions

03/12/2010 10:31 AM

no

http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htm

1/3 of the way down Golden Ratio Obsessions
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kvsridhar
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#4
In reply to #3

Re: Phi and Product Proportions

03/12/2010 10:45 AM

Wonderful website.

Brings a dreamer down to earth eh?

At 65, i would rather dream than face stark reality which is without any beauty.

Anyway, nothing very magical about 16:10 or 16:9 either. Just what the guys wanted to sell eh?

GA anyway for giving that wonderful website.

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Tornado
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#5

Re: Phi and Product Proportions

03/13/2010 1:46 AM

HUX's reference (GA) is excellent, though on some points perhaps a bit more dismissive than need be. That said, dsimanek was right on about the woo-woo blather.

φ = (1+√5)/2 ≈ 1.618 (or more decimal places if you want). Much of the recent literature seems to forget about the geometrically exact form. = ≠ ≈.

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kvsridhar
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#6
In reply to #5

Re: Phi and Product Proportions

03/13/2010 3:17 AM

How true... not to mention ±,≡,....

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bob.gagnon
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#7

Re: Phi and Product Proportions

03/13/2010 10:36 AM

I too am fascinated with Phi.

It shows up in the field of acoustics as the optimum ratio of dimensions for a music listening room or a recording studio. (ie. length=1.618*width; width=1.618*height)

You can generate the the exact number using a Fibonacci series; 0-1-1-2-3-5-8-13-etc The next number is equal to the sum of the two previous numbers. After about 10 iterations, the ratio of any number to the previous number is = Phi.

Also, Phi=(SQRT(5)+1)/2

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kvsridhar
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#8
In reply to #7

Re: Phi and Product Proportions

03/13/2010 10:56 AM

Welcome to this (at the moment rather small) club

Thanks for the new info. GA

Still, why the heck are the TVs 16:9 ?

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MRH620
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#9

Re: Phi and Product Proportions

03/15/2010 9:25 AM

'PHI' fi fo fum...

I always liked the properties of this wonderful number.

Phi^2 == Phi + 1 (and) 1/Phi == Phi -1.

Such beautiful symmetry.

MRH620

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bob.gagnon (1); HUX (1); kvsridhar (4); MRH620 (1); passingtongreen (1); Tornado (1)

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